Skip to main content

A Coupled Finite Element Model of Flow in Porous Layered Media

  • Conference paper
Finite Elements in Water Resources

Abstract

The set of differential equations describing the behavior of the flow field and the stress field in deforming porous media were originally derived by Biot (1941) for a general three-dimensional system under the assumption of linearity. However coupled models of flow based on the solution of the Biot equations are not frequently used because of their numerical complexity and of the heavy computational burden required by their application to aquifer basins of realistic size.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Biot M.A. (1941), General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155–164.

    Article  Google Scholar 

  • Booker H.R. (1974), The consolidation of a finite layer subject to surface loading, Int. J. Solids Struct., 10, 1053–1063.

    Article  Google Scholar 

  • Booker J.R. and Small J.C. (1975), An investigation of the stability of numerical solutions of Biot’s equations of consolidation, Int. J. Solid Struct., 11, 907–917.

    Article  Google Scholar 

  • Christian J.J. and Boehmer J.W. (1970), Plain strain consoli dation by finite elements, J. Soil Mech. and Found. Div., Proc. ASCE, 96, 1435–1457.

    Google Scholar 

  • Crank J. and Nicolson P. (1947), A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type, Proc. Camb. Phil. Soc., 43, 50–67

    Article  Google Scholar 

  • Desai C.S. (1975), Analysis of consolidation by nu-merical methods, Proc. Symp. on Recent Developments in the Analysis of Soil Behavior and Application to Geotech. Struct., University of New South Wales, Sydney.

    Google Scholar 

  • Gibson R.E., Schiffman R.L. and Pu S.L. (1970), Plane strain and axially symmetric consolidation of a clay layer on a smooth impervious base, Quart. J. Mech. Appl. Math., 23, 505–519.

    Google Scholar 

  • Sandhu R.S. (1976), Finite element analysis of soil consoli dation, Geotech. Engng. Rep. No. 6 to National Science Foundation, The Ohio State University.

    Google Scholar 

  • Sandhu R.S. and Wilson E.L. (1969), Finite element analysis of seepage in elastic media, J. Eng. Mech. Div. Proc. ASCE, 95, 641–652.

    Google Scholar 

  • Smith I.M. and Hobbs R. (1976), Biot analysis of consolidation beneath embankments, Geotechnique, 26, 149–160.

    Article  Google Scholar 

  • Vermeer P.A. and Verruijt A. (1981), An accuracy condition for consolidation by finite elements, Int. J. Num. Anal. Methods Geomech., 5, 1–14.

    Article  Google Scholar 

  • Verruijt A. (1977), Generation and dissipation of pore water pressure, Finite Elements in Geomechanics, G. Gudehus Ed., Wiley, 293–317, London.

    Google Scholar 

  • Zienkiewicz O.C. (1977), The finite element method, 3-rd edn., McGraw-Hill, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gambolati, G., Perdon, A.M., Ricceri, G. (1984). A Coupled Finite Element Model of Flow in Porous Layered Media. In: Laible, J.P., Brebbia, C.A., Gray, W., Pinder, G. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11744-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-11744-6_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11746-0

  • Online ISBN: 978-3-662-11744-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics